Answers
Answer:
(- 4, - 10 )
Step-by-step explanation:
y = 5x + 10 → (1)
y = 4x + 6 → (2)
Substitute y = 5x + 10 into (2)
5x + 10 = 4x + 6 ( subtract 4x from both sides )
x + 10 = 6 ( subtract 10 from both sides )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 5(- 5) + 10 = - 20 + 10 = - 10
solution is (- 4, - 10 )
__________
[tex] \: [/tex]
[tex] \sf{y = 5x + 10...(1)}[/tex]
[tex] \sf{y = 4x + 6...(2)}[/tex]
Subtitute (1) to (2)[tex] \sf{y = 4x + 6}[/tex]
[tex] \sf{5x + 10 = 4x + 6}[/tex]
[tex] \sf5x - 4x = 6 - 10[/tex]
[tex] \sf{x = - 4}[/tex]
.
Subtitute x = -4 to (1)[tex] \sf{y = 5x + 10}[/tex]
[tex] \sf{y = 5( - 4) + 10}[/tex]
[tex] \sf{y = - 20 + 10}[/tex]
[tex] \sf{y = - 10}[/tex]
.
[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]
Related Questions
Evaluate the equation 15d = -105
Answers
Answer:
Step-by-step explanation:
15d = -105
15d/15 = -105/15
d = -7
15d = -105
d = -105/15
d = -7
____
RainbowSalt2222 ☔
HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answers
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?
Answers
Answer:
37.5cm sifjueikksksoowi
Answer:
38.5 = width
Step-by-step explanation:
find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division
Answers
(x^3 - 2x^2 + 6x + 3)/(x-3)
= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)
= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3
= x^2 + x - 3 + 6(2x - 1)/(x-3)
or
= x^2 + x - 3 remainder 12x - 6
or, in the form p(x) = q(x)d(x) + r(x):
(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)
which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6
Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
Answers
Answer:
y=-3x+18
Step-by-step explanation:
since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18
If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?
Answers
Answer:
.,l;'fnfcy
Step-by-step explanation:
gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll
Find the measure of the exterior angle.
(5x+2)
6x
90
Answers
y = 138
Step-by-step explanation:
6x + 5x +2 = 90°
11x = 90 - 2
11x = 88
x = 8
5x + 2 + y = 180
5(8) + 2 + y = 180
40 + 2 + y =180
42 + y = 180
180 - 42 = y
y = 138
hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!
Answers
1) x^2 +x+3-4x
Rearrange first to put like terms together
X^2 +x-4x +3
Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!
Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =
Answers
15 + 31 = 46
added 9 and 6 to get 15, then added 15 and 31 to get 46.
how much is 80+198 in fractions
Answers
Answer:
278/1
Step-by-step explanation:
The question is kind of unclear... though this is 80+198 simplified.
Hope this helped! :)
Find 40% of 60 please help i am really struggling!!!
Answers
Answer:
24 is the answer
Step-by-step explanation:
The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=2440% of 60
40/100x60
=0.4x60
=24
Click on the solution set graphic until the correct one is displayed.
Answers
Answer:
empty set
Step-by-step explanation:
Answer: { } or empty set
the choses are:
{ } or empty set
{ infinite set of points on like}
{ point in quadrant I }
23/24 as a decimal rounded to the nearest hundredth
Answers
Answer:
95.80
Step-by-step explanation:
hope I helped BESTIEE
Answer:
Step-by-step explanation:
23/24 as a decimal is 0.95833333333333.
Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X
Answers
Answer:
3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.
on 13, 1.7.21
Points: 0 of 1
Save
A bank loaned out $18,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $2000, how much was loaned
at 7%?
How
Answers
Answer:
??????
Step-by-step explanation:
Saan po jan sasagutan
Jeremy has 10 socks. 6 of the socks are red 2 of the socks are blue 2 of the socks are green Jeremy takes at random two of the socks. Work out the probability that he takes two socks of the same colour.
Answers
ATQ
[tex]\\ \sf\longmapsto R+B+G=10[/tex]
[tex]\\ \sf\longmapsto 6+2+2=10[/tex]
Divide all by 2[tex]\\ \sf\longmapsto 4+1+1=5[/tex]
Now
R'=4B'=1G'=1Two of same colour so we need P(R')
[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]
[tex]\\ \sf\longmapsto 0.4[/tex]
What is the slope of the line created by this equation?
Round your answer out to two decimal places.
8x+2y = 4
Help
Answers
Answer:
I think the answer will be:- m = -4 but I'm not sure.
Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?
Answers
What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3
Answers
Answer:
this is the answer....
Answer:
x - (5 -sqrt149 ) / 4 and x- (sqrt149+5)/4 = = x - -4.3016389 and x - 4.3016389
Step-by-step explanation:
1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3) = (5/4x+3) = ( 1/2x^2-6 5/6) = (5/4x+3) convert 5/4 to 12ths = *3 = 15/12 and 5/6 * 2 = 10/12 = ( 1/2x^2-6 10/12) = (15/12x+3) = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0 = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2 (2)- 15/12x (2) -3 10/12 (2) = 0 = x^2 - 30 /12x -6 20/12 (2) = 0 simplify irregular fraction x^2 - 2 2/4x -7 3/4 = 0 then do the abc quadratic formula = x - (5 -sqrt149 ) / 4 and x- (sqrt149+5)/4 = x- -17.2065556/4 = x - -4.3016389 and 17.2065556/4 =x - 4.3016389
write an equation of the line with a slope of -8 and a y-intercept of 2
Answers
Answer:
y=−2x+8
Step-by-step explanation:
https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8
Can someone please help me I will mark u brilliant
Answers
blank% of 50 shirts is 35 shirts
Answers
Answer: 70%
Step-by-step explanation:
A percentage is a way of writing a fraction, but with a denominator of
100
Asking the question a different way makes it easier to understand.
What percent is
35
shirts out of
50
?
This indicates that there is a fraction.
35
50
Make the denominator
100
35
50
×
2
2
=
70
100
=
70
%
Or to make a percent:
fraction
×
100
%
35
50
×
100
2
%
=
35
×
2
=
70
%
Camilla's Burgers cooks its burgers either well done or medium. Last night the restaurant served 75 burgers in all, 45 of which were well done. What percentage of the burgers were well done? Write your answer using a percent sign (%).
Answers
Answer:
60%
Step-by-step explanation:
number well done/total burgers cooked ×100
45/75 × 100
4500/7500
60%
Check: Total × 60% = 75 ×.60 = 45 well done
2x + 3x/4 = 11
Please solve I am doing it for homework :)
Answers
Answer:
x = 4
Step-by-step explanation:
x4 x4. = x4
8x + 12x =44
20x = 44
/20 =/20
x = 44/20 = 22/10
2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c
Answers
Answer:
[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]
Answer:
a = 2, b = 3 and c = 3
i.)a + 2b
2 + 2(3) = 2 + 6 = 8
ii.)a + b + c
2 + 3 + 3 = 8
Thus, The answer of i.) is 8 and ii.) is 8
-TheUnknownScientist 72
y=−4x−3 y=−2x+1 ( Ignore this part i had to write it)
Answers
Answer:
Solve equation [2] for the variable y
[2] y = -2x + 1
// Plug this in for variable y in equation [1]
[1] (-2x+1) + 4x = -3
[1] 2x = -4
// Solve equation [1] for the variable x
[1] 2x = - 4
[1] x = - 2
// By now we know this much :
y = -2x+1
x = -2
// Use the x value to solve for y
y = -2(-2)+1 = 5
Solution :
{y,x} = {5,-2}
Answer all for brainliest asap pls
Answers
1.
Since ABCD is a rectangle, then
angleABE = 90 degrees
angle ABE + angle BEA + 41 = 180
Substitute the known and solve for angle BEA
angle BEA + 41 = 90
angle BEA = 49 degrees
But,
x + angleBEA + 61 = 180 (angles in a straight line)
x = 180 - 61 - 49
x = 70 degrees
2.
triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.
Therefore,
Angle YZX = 60
But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)
60 = x + 32
Therefore,
x = 28 degrees
3.
Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)
Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)
Angle QRP = 58 degrees
But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)
58 = x + 35
x = 23 degrees
Answer:
See below:
Step-by-step explanation:
For the first one, we know <ABC is 90 degrees due to it being a rectangle.
Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.
We know that the sum of angles in a triangle are 180 degrees therefore:
If we solve that, we get that y is 49 degrees.
Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.
We now know that x is 70 degrees
For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.
What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.
Therefore <XZW is 120 degrees.
Now, all angles inside a triangle are always 180 degrees so therefore:
[tex]x=180-(120+32)\\x=28[/tex]
For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.
On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.
please help me!!! I'll give you 40 points.
construct the bisector of the following figures
Answers
Answer:
divide the given line into halves
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.
Answers
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates
Answers
Answer:
Step-by-step explanation:
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2) = (-4. 2)
